boundary value problems 1integral representations 1interface problems 1pseudo-parabolic equations 1unified transform method 1
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math.AP2026
Integral Representations for Interface Problems for the Barenblatt-Sobolev-Galpern Pseudoparabolic Equation
Andreas Chatziafratis, Sergey A. Rukolaine, Elias C. Aifantis
The paper derives new contour integral formulas using the Unified Transform Method to solve initial‑boundary‑value and interface problems for the Barenblatt‑Sobolev‑Galpern pseudo‑…
math.AP2025
Higher-order diffusion and Cahn-Hilliard-type models revisited on the half-line
A. Chatziafratis, A. Miranville, G. Karali +2
In this paper, we solve explicitly and analyze rigorously inhomogeneous initial-boundary-value problems (IBVP) for several fourth-order variations of the traditional diffusion equa…